Find the volume of a sphere with a radius of \(\frac{3}{4}k\).
When cubing \(\frac{3}{4}\), do you cube both the numerator and the denominator?
Answer (2)
No, you cube all of the numerator and denominator. This is because when you cube anything you do the number multiplied by the number 3 times. So you do the same with fractions. 4 3 ∗ 4 3 ∗ 4 3 = 4 3 3
You cube both the numerator and the denominator when cubing a fraction. For the sphere's volume with radius 4 3 k , the volume is 16 9 π k 3 .
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